Porosity Investigations on Dynamic Responses of FG Plates via a Modified Quasi-3D Shear Deformation Theory

PurposeThis study aims to comprehensively analyze the dynamic behavior of functionally graded porous plates (FGP) under various porosity distributions. The primary research question is: How do different porosity patterns influence the vibration characteristics of FG plates?MethodsA quasi-3D hyperbolic shear deformation theory is employed to model the dynamic response of FGP plates accurately. Four distinct porosity patterns-even, uneven, logarithmic-uneven, and mass-density porosities-are investigated. The effects of the porous coefficient, gradient index, and span-to-thickness ratio on the plates' fundamental frequencies are examined.ResultsMass-density porosity yields the highest non-dimensional fundamental frequency values, up to 15% higher than even porosity for some configurations. Increasing the porous coefficient from 0 to 0.2 results in up to a 10% increase in fundamental frequencies for mass-density porosity, while causing a 5% decrease for even porosity. Frequency reductions of up to 20% are observed as the gradient index increases from 0 to 5.ConclusionThis analysis provides crucial insights for optimizing vibration performance by tailoring porosity distribution in FGP structures. The findings have potential applications in aerospace, automotive, and biomedical industries, contributing to the development of lightweight, advanced materials with enhanced dynamic characteristics and customizable properties.